Li-Cheng Tsai

Junior Fellow of the Simons Society of Fellows

Department of Mathematics at Columbia University
2990 Broadway, New York, NY 10027, USA

Email: lctsai.math@gmail.com

Picture of Li-Cheng Tsai

My curriculum vitae.

I am a Junior Fellow of the Simons Society of Fellows, working with Ivan Corwin in the Department of Mathematics at Columbia University in the City of New York.

I am co-organizing the Columbia Probability Seminar.

I received my PhD in Mathematics at Stanford University in 2016, with my PhD advisor Amir Dembo.

My research interest lies in probability theory, particularly asymptotic behaviors of interacting particle systems, with a focus on their interplay between partial differential equations, stochastic partial differential equations, and integrability.

Awards

Publications

See also Google Scholar.

  1. Exact lower tail large deviations of the KPZ equation [arXiv]
    Submitted
  2. Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model [arXiv]
    with Hao Shen. Submitted
  3. SPDE Limit of Weakly Inhomogeneous ASEP [arXiv]
    with Ivan Corwin. Submitted
  4. Coulomb-gas electrostatics controls large fluctuations of the KPZ equation [arXiv]
    with Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink, and Pierre Le Doussal.
    Phys. Rev. Lett. 121, 060201 (2018)
  5. Stochastic PDE Limit of the Six Vertex Model [arXiv]
    with Ivan Corwin, Promit Ghosal, and Hao Shen. Submitted
  6. Another look into the Wong-Zakai Theorem for Stochastic Heat Equation [arXiv]
    with Yu Gu. Submitted
  7. Stationary Distributions of the Atlas Model [arXiv]
    Electron. C. Probab. 23 (10), 2018
  8. ASEP(q,j) converges to the KPZ equation [arXiv]
    with Ivan Corwin and Hao Shen. Ann. Inst. Henri Poincare (B) Probab. Stat. 54(2) 995-1012, 2018
  9. Optimal Surviving Strategy for Drifted Brownian Motions with Absorption [arXiv]
    with Wenpin Tang. Ann. Prob. 46 (3) 1597-1650, 2018
  10. Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process [arXiv]
    with Stefano Olla. Submitted
  11. The Criticality of a Randomly-Driven Front [arXiv]
    with Amir Dembo. Submitted
  12. Stationary Gap Distributions for Infinite Systems of Competing Brownian Particles [arXiv][MR]
    with Andrey Sarantsev. Electron. J. Probab. 22 (56), 2017
  13. Equilibrium Fluctuation of the Atlas Model [arXiv][MR]
    with Amir Dembo. Ann. Prob. 45 (6B) 4529-4560, 2017
  14. KPZ equation limit of higher-spin exclusion processes [arXiv][MR]
    with Ivan Corwin. Ann. Prob. 45 (3) 1771-1798, 2017
  15. Infinite Dimensional Stochastic Differential Equations for Dyson's Model [arXiv][MR][SN SharedIt]
    Probab. Theory Related Fields. 166 (3) 801-850, 2016
  16. Weakly asymmetric non-simple exclusion process and the KPZ equation [arXiv][MR]
    with Amir Dembo. Comm. Math. Phys. 341 (1), 219-261, 2016
  17. Equilibrating effects of boundary and collision in rarefied gases [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 328 (2), 421-480, 2014
  18. Free molecular flow with boundary effect [MR]
    with Hung-Wen Kuo and Tai-Ping Liu. Comm. Math. Phys. 318 (2), 375-409, 2013
  19. Viscous shock propagation with boundary effect [MR]
    Bull. Inst. Math. Acad. Sin. (N.S.) 6, 1-26, 2011

Teaching

Lecturing

  • Fall 2017-18, MATH 1102: Calculus II
    Overall assessment of the effectiveness of the instructor: 4.0/5

Section Leading

  • Winter 2014-15, MATH 53: ODEs with Linear Algebra
  • Winter 2013-14, MATH 42: Calculus (Accelerated)
  • Autumn 2012-13, MATH 41: Calculus (Accelerated)